MA19.PRE.6

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.6
Analyze possible zeros for a polynomial function over the complex numbers by applying the Fundamental Theorem of Algebra, using a graph of the function, or factoring with algebraic identities.

Unpacked Content

Knowledge

Students know:

The definition of the degree of a polynomial.
The difference between real and complex roots.

Skills

Students are able to:

Find roots of a polynomial algebraically and/or graphically.
Rewrite an imaginary number as a complex number.

Understanding

Students understand that:

The degree of a polynomial determines the number of roots, some which may be real, complex, or used more than once.
Only real roots will be x-intercepts on a graph.

Vocabulary

Zeros
Fundamental Theorem of Algebra
Quadratic Polynomial

Aligned Learning Resources

Finding Imaginary Solutions

Find Imaginary Solutions: Imaginary Zeros Interactive

Find Imaginary Solutions Practice

Zeroes and Intercepts of Functions

Zeroes and Intercepts of Polynomials: Function Intercepts Interactive

Zeroes and Intercepts of Polynomials Practice

Design by Adaptive Theme